Insights into the Zero Dynamics of Non-Standard Sampled-Data Models for Linear Control Plants

The properties of the zero dynamics of non-standard sampled-data models obtained when sampling a continuous-time system is studied. We give a result which generalizes the known behaviors of the zero dynamics of a sampled linear control system for small time intervals. The occurrence of sampling zero dynamics is relevant to the problem of discretization control for linear continuous-time systems, and sampling zero dynamics play also a very important role in the linear discrete-time transfer function and controller design. Here we explore some worthwhile results on the asymptotic properties of sampling zero dynamics with a partial zero-order hold to gain important new insights into the effect of sampling for linear control systems. These results also demonstrate that the discretized models have to account, to some extent, for the sampling zero dynamics when considering the discretization dynamics behavior of the real control systems.